Co-H-spaces and the Ganea conjecture
type: Item
instance of: scholarly article
title: Co-H-spaces and the Ganea conjecture
zbMATH Open document ID: 0970.55007
DOI: 10.1016/S0040-9383(99)00052-X
author: Norio Iwase
published in: Topology
publication date: 2001-10-16T00:00:00Z
reviewed by: Marek Golasiński
Mathematics Subject Classification ID: 55P45
Mathematics Subject Classification ID: 55R70
zbMATH DE Number: 1587565
zbMATH Keywords: co-H-space
zbMATH Keywords: homology decomposition
zbMATH Keywords: fibrewise localization
Wikidata QID: Q123141067
MaRDI profile type: Publication
full work available at URL: s0040-9383(99)00052-x
OpenAlex ID: W1995869364
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review text: The Ganea conjecture [\textit{T. Ganea}, Lect. Notes Math. 249, 23-30 (1971; Zbl 0237.55009)] states: does a co-H-space have the homotopy type of a one-point sum of a bunch of circles and a simply connected space? NEWLINENEWLINENEWLINEFirst, the author shows that a non-simply connected co-H-space \(X\) is the total space of a fibrewise-simply connected fibrewise co-Hopf fibration \(j : X\to B\pi_1(X)\) and studies its homology decomposition. Then a series of non-simply co-H-spaces is produced to disprove the Ganea conjecture.
description: scientific article; zbMATH DE number 1587565